Go on craigslist and buy a used Canon point-and-shoot for $20.
Point and shoot cameras record video and everything these days.
720 is standard high definition Television broadcast these days, sports programs, etc. 1020 X 1920 is very high quality HD for home, though if you have any thought of editing, you will need a high end graphic computer to do it. For shoot and plug into your TV should be fine. Stay away from 4K unless you have 4K TV.
What EPU said, you won’t be happy for long with a $60 hidef camera.